Answer:
(x + 4)² + (y - 1)² = 9
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
( h, k ) are the coordinates of the centre and r is the radius
From the diagram
centre = ( - 4, 1 ) and r = 3 , then
(x - (- 4) )² + (y - 1)² = 3² , that is
(x + 4)² + (y - 1)² = 9
